MR2829550
Kazuyuki DOI
Kazuyuki DOI
Nonlinear Gauge Invariant Evolution of Superposed Plane Waves
Funkcialaj Ekvacioj. Serio Internacia
54
2011
95--118
http://fe.math.kobe-u.ac.jp/FE/FullPapers/54-1/54_95.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2829550
We consider nonlinear gauge invariant evolution of superposed plane waves. We treat not only the case where the plane wave has one wave number vector, but also it has two wave number vectors including the case they are not ${\bf Q}$-linearly independent (see (1.7) below). Assuming that the evolution is of dispersive type, we find a solution expressed by a special form. Moreover, we study the global behavior of the solution from its representation.
Nonlinear evolution equations, Plane wave, Gauge invariant nonlinearity.
35G25, 35C05.
54-95
2011
Nonlinear Gauge Invariant Evolution of Superposed Plane Waves
Kazuyuki DOI
Kazuyuki DOI
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